so.. what is the coefficient "a"?
well
now, we know, another point on the graph, besides the vertex, we know a y-intercept, that is, 0, -30, that simply means when x = 0, y = -30
now, getting the x-intercepts, is just the zeros, or solution to the quadratic
notice, "y" is 0 on both cases, because, is an x-intercept, or a zero, and when the graph touches the x-axis, "y" is zero
You add like terms, which means add the values with the x value, and the values with the y value, and never mix them. So for the x values, you have 4x + 2x, which equals 6x. Then you add the y values, 4y + 6y to get 10y. Then you add them to the remaining 6, and get
5x + 10y + 6
Answer:
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You can use the elimination method to slove the systems of linear equations.
Using linear functions, it is found that the two planes will be at the same altitude in 7 minutes.
<h3>What is a linear function?
</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For the first plane:
- Initial altitude of 1000 meters, hence .
- Ascending t a rate of 400 meters per minute, hence .
Hence, the equation is:
For the second plane:
- Initial altitude of 5900 meters, hence .
- Descending t a rate of 300 meters per minute, hence .
Hence, the equation is:
They will be at the same altitude at the value of x for which:
Hence:
The two planes will be at the same altitude in 7 minutes.
To learn more about linear functions, you can take a look at brainly.com/question/25823744
Answer:
x=7
Step-by-step explanation:
m1= 84
m2= 96
m3= 84
m4= 96
m5= 96
m6= 84
m7= 96
m8= 84